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Finding the Third Proportional to 14,300 and 29,606

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Solution

The third proportional to 14,300 and 29,606 is: 61,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,300 : 29,606 = 29,606 : x
  2. Step 2: Convert to fraction form
    14,300/29,606 = 29,606/x
  3. Step 3: Cross multiply
    14,300x = 29,606 × 29,606
  4. Step 4: Simplify right side
    14,300x = 876,515,236
  5. Step 5: Solve for x
    x = 876,515,236/14,300
  6. Step 6: Final answer
    x = 61,294.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.